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Finding the Fourth Proportional to 10,406.10, 15,623.55 and 8,217.30

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Solution

The fourth proportional to 10,406.10, 15,623.55 and 8,217.30 is: 12,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.10 : 15,623.55 = 8,217.30 : x
  2. Step 2: Convert to fraction form
    10,406.10/15,623.55 = 8,217.30/x
  3. Step 3: Cross multiply
    10,406.10x = 15,623.55 × 8,217.30
  4. Step 4: Simplify right side
    10,406.10x = 128,383,397.42
  5. Step 5: Solve for x
    x = 128,383,397.42/10,406.10
  6. Step 6: Final answer
    x = 12,337.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.